Assuming that C is the hypotenuse...
The formula you want to use is:
a^2 + b^2 = c^2
We start by squaring 10, which is 100. 5^2 is 25. Now that we have the values, we can do the equation.
100+25=c^2 100+25=
Now, square root
C= 11.180
Based on the calculations, the area of the shaded region is equal to 22 square foot.
<h3>How to calculate the area of the shaded region?</h3>By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
<u>Note:</u> The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
Read more on area of circle here: brainly.com/question/2278809
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<h3>Complete Question:</h3>Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
